integrais de Graceli

terça-feira, 22 de julho de 2014

+ log x/x [n] - [

\frac{\pi}{2}t^2

]

S(x)=\int_0^x \sin(t^2)\,dt,\quad C(x)=\int_0^x \cos(t^2)\,dt.

integrais com curvas inversas Graceli.

+ log x/x [n] - [

\sqrt{\frac{2}{\pi}}

]

S(x)=\int_0^x \sin(t^2)\,dt,\quad C(x)=\int_0^x \cos(t^2)\,dt.

+ log x/x [n] - [

(\frac{\pi}{2})^{1/2}

]

S(x)=\int_0^x \sin(t^2)\,dt=\sum_{n=0}^{\infin}(-1)^n\frac{x^{4n+3}}{(2n+1)!(4n+3)}